阻尼耦合振动的Lagrange函数和Hamilton函数

The Lagrangians and Hamiltonians of damped coupled vibrations

本文研究两种阻尼耦合振动的分析力学化.首先,利用坐标变换将方程变换成自伴随形式;其次,根据Engels方法计算得到Lagrange函数;最后,由逆变换导出原始方程的Lagrange函数,以及Hamilton函数.

In this paper, the analytical mechanization of two kinds of damped coupled vibrations is stud ied. First, by use of coordinate transformations the equations of motion are transformed into the selfad joint form. Secondly, the Lagrangians are obtained according to Engels method. Finally the Lagrangians and Hamiltonians of the original equations are deduced by using the inverse transformation.